SPINOR REPRESENTATIONS OF FRAMED CURVES IN THE THREE-DIMENSIONAL LIE GROUPS

被引：1

作者：

Isbilir, Zehra ^{[1
]}

Yazici, Bahar Dogan ^{[2
]}

Tosun, Murat ^{[3
]}

机构：

[1] DUZCE Univ, Dept Math, Fac Arts & Sci, TR-81620 Duzce, Turkiye

[2] Bilecik Seyh Edebali Univ, Dept Math, Fac Sci, TR-11100 Bilecik, Turkiye

[3] Sakarya Univ, Dept Math, Fac Sci, TR-54187 Sakarya, Turkiye

来源：

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES | 2023年 / 21卷 / 01期

关键词：

Spinors; Framed curves; Lie groups; HYPERBOLIC SPINORS; BERTRAND; CONSTRUCTION; MECHANICS; EQUATIONS; GEOMETRY;

D O I：

10.47974/JDSGT-21-1-P14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we determine the spinor representations of special singular curves (framed curves) in the three-dimensional Lie groups with a biinvariant metric. Also, we construct spinor framed equations for some special cases and obtain the relations between the spinor representations of the general frame and adapted frame along the framed curves in the three-dimensional Lie groups. Then, we give some geometric properties and results with respect to them.

引用

页码：61 / 83

页数：23

共 50 条

[21] Sectional and Ricci Curvature for Three-Dimensional Lie Groups
Thompson, Gerard
Bhattarai, Giriraj
JOURNAL OF MATHEMATICS, 2016, 2016
[22] PARALLEL SURFACES IN THREE-DIMENSIONAL LORENTZIAN LIE GROUPS
Calvaruso, Giovanni
Van der Veken, Joeri
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (01): : 223 - 250
[23] Generalised killing spinors on three-dimensional Lie groups
Artacho, Diego
MANUSCRIPTA MATHEMATICA, 2025, 176 (01)
[24] Invariant Ricci collineations on three-dimensional Lie groups
Calvino-Louzao, E.
Seoane-Bascoy, J.
Vazquez-Abal, M. E.
Vazquez-Lorenzo, R.
JOURNAL OF GEOMETRY AND PHYSICS, 2015, 96 : 59 - 71
[25] On local isometric embeddings of three-dimensional Lie groups
Agaoka, Yoshio
Hashinaga, Takahiro
GEOMETRIAE DEDICATA, 2020, 205 (01) : 191 - 219
[26] Spinor representation of framed Mannheim curves
Dogan Yazici, Bahar
Isbilir, Zehra
Tosun, Murat
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (07) : 2690 - 2700
[27] Classification of real three-dimensional Lie bialgebras and their Poisson-Lie groups
Rezaei-Aghdam, A
Hemmati, M
Rastkar, AR
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (18): : 3981 - 3994
[28] Control Systems on Three-Dimensional Lie Groups: Equivalence and Controllability
Rory Biggs
Claudiu C. Remsing
Journal of Dynamical and Control Systems, 2014, 20 : 307 - 339
[29] Cross Curvature Solitons of Lorentzian Three-Dimensional Lie Groups
Azami, Shahroud
Jafari, Mehdi
Haseeb, Abdul
Ahmadini, Abdullah Ali H.
AXIOMS, 2024, 13 (04)
[30] K1-congruences for three-dimensional Lie groups
Delbourgo, Daniel
Chao, Qin
ANNALES MATHEMATIQUES DU QUEBEC, 2019, 43 (01): : 161 - 211

← 1 2 3 4 5 →